972134045000 has 40 divisors (see below), whose sum is σ = 2277710079150. Its totient is φ = 388853616000.

The previous prime is 972134044997. The next prime is 972134045011. The reversal of 972134045000 is 540431279.

It can be written as a sum of positive squares in 5 ways, for example, as 8167459876 + 963966585124 = 90374^2 + 981818^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×972134045000³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 97208405 + ... + 97218404.

Almost surely, 2^972134045000 is an apocalyptic number.

It is an amenable number.

972134045000 is an abundant number, since it is smaller than the sum of its proper divisors (1305576034150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

972134045000 is a wasteful number, since it uses less digits than its factorization.

972134045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194426835 (or 194426816 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 972134045000 its reverse (540431279), we get a palindrome (972674476279).

The spelling of 972134045000 in words is "nine hundred seventy-two billion, one hundred thirty-four million, forty-five thousand".